Abstract: Methods and systems for ordering blades in a rotatable machine is provided. The method includes receiving at least one geometric parameter measurement of each blade in a row of blades, determining a root sum squared value of a difference of a selected one of the received geometric parameter measurements between adjacent blades in the row of blades, determining a vector sum of a selected other one of the received geometric parameter measurements, determining a moment weight vector sum of each blade to be positioned on the rotor, and determining, using a computer, a sequence map of each blade using the root sum squared value of the difference of the geometric parameter measurement between adjacent blades in the row of blades, the vector sum of a selected other one of the received geometric parameter measurements, and the moment weight vector sum.

Abstract: A method and apparatus for assembling a rotatable machine is provided. The machine includes a first set of blades that extend radially outwardly from a rotor assembly and wherein a second set of blades is available for installation on the rotor assembly. The method includes determining at least one of a moment weight of each blade in the first set of blades and a geometric parameter of each blade in the first set of blades, determining at least one of a moment weight of each blade in the second set of blades and a geometric parameter of each blade in the second set of blades, and determining a mapping order of each blade for the rotor assembly using the moment weight and the geometric parameter of each blade in the first set of blades and the moment weight and the geometric parameter of at least one blade in the second set of blades.

Abstract: A method, rotor assembly, and apparatus for ordering blades in a rotatable machine is provided. The rotor assembly includes a disk including a plurality of circumferentially-spaced blade root slots defined therein, and a plurality of blades, each blade including a root, a tip, and an airfoil therebetween, each blade positioned within a pre-determined slot based on a blade map, the blade map generated by a computer system configured to receive a geometric parameter measurement of each blade in a row of blades, determine a shape factor for the row of blades using the geometric parameter measurement of each blade, and determine a sequence map of each blade using the shape factor for the row of blades.

Abstract: A method and apparatus for ordering blades in a rotatable machine is provided. The machine includes a plurality of blades that extend radially outwardly from a rotor. The method includes determining a moment weight of each blade in a row of blades, determining a geometric parameter of each blade in the same row of blades, and determining a mapping order of each blade using the moment weight and the geometric parameter. The apparatus includes a computer system that includes a software product code segment for minimizing imbalance in a bladed rotor wherein the segment is configured to receive a moment weight value for each blade to be installed in said rotor, receive a geometric parameter value for each blade to be installed in said rotor, calculate a blade location on the rotor based on the received values, and generate a blade map based on the calculated location.

Abstract: A processor-implemented method of assembling a rotatable machine is provided. The machine includes a plurality of blades that extend radially outwardly from a rotor. The method includes determining a geometric parameter for each blade in a row of blades that is relative to a ratio, R of an inlet area and an outlet area of a predetermined volume defined between each pair of blades, determining an initial sequence map for the row of blades that facilitates minimizing a difference of R between circumferentially adjacent pairs of blades, and iteratively remapping the sequence of the blades to facilitate reducing a moment weight vector sum of the rotor to a value that is less than a predetermined value.